Research article

The global classical solution to compressible Euler system with velocity alignment

  • Received: 29 June 2020 Accepted: 06 August 2020 Published: 28 August 2020
  • MSC : 35L65, 35Q70

  • In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided.

    Citation: Lining Tong, Li Chen, Simone Göttlich, Shu Wang. The global classical solution to compressible Euler system with velocity alignment[J]. AIMS Mathematics, 2020, 5(6): 6673-6692. doi: 10.3934/math.2020429

    Related Papers:

  • In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided.


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